Search a number
-
+
13480293632 = 281319732053
BaseRepresentation
bin11001000110111110…
…01111010100000000
31021210110112212110112
430203133033110000
5210101423344012
610105345250452
7655024414421
oct144337172400
937713485415
1013480293632
115798302143
122742633a28
13136aa47210
1491c471648
1553d6c6122
hex3237cf500

13480293632 has 72 divisors (see below), whose sum is σ = 29006579784. Its totient is φ = 6215491584.

The previous prime is 13480293623. The next prime is 13480293689. The reversal of 13480293632 is 23639208431.

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 13441156096 = 6256^2 + 115936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13480293632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6565118 + ... + 6567170.

Almost surely, 213480293632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13480293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503289892).

13480293632 is an abundant number, since it is smaller than the sum of its proper divisors (15526286152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13480293632 is a wasteful number, since it uses less digits than its factorization.

13480293632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 13480293632 in words is "thirteen billion, four hundred eighty million, two hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 1973 2053 3328 3946 4106 7892 8212 15784 16424 25649 26689 31568 32848 51298 53378 63136 65696 102596 106756 126272 131392 205192 213512 252544 262784 410384 427024 505088 525568 820768 854048 1641536 1708096 3283072 3416192 4050569 6566144 6832384 8101138 16202276 32404552 52657397 64809104 105314794 129618208 210629588 259236416 421259176 518472832 842518352 1036945664 1685036704 3370073408 6740146816 13480293632